ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS

作     者：Xuying Zhao Shipeng Mao Zhong-Ci Shi 

作者机构：LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences and Graduate University of Chinese Academy of Sciences Beijing 100190 China LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2010年第28卷第5期

页      面：621-644页

核心收录：

学科分类：07[理学] 08[工学] 070102[理学-计算数学] 0835[工学-软件工程] 0802[工学-机械工程] 0701[理学-数学] 080201[工学-机械制造及其自动化] 

基　　金：supported by the Special Funds for Major State Basic Research Project (No. 2005CB321701) 

主　　题：Finite element method Adaptive algorithm Hanging node 1-irregular mesh,Convergence analysis. 

摘      要：In this paper we study the convergence of adaptive finite element methods for the gen- eral non-attine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ingredients, such as quasi-orthogonality, estimator reduction and D6fler marking strategy, convergence of the adaptive finite element methods for the general second-order elliptic partial equations is proved. Our analysis is effective for all conforming Qm elements which covers both the two- and three-dimensional cases in a unified fashion.